How to make a parallelogram with a circle by cutting so that the area of parallelogram is equal to that of area of circle?
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Answer:
the diagram is as follows
If you divide a circle into a number of equal segments then stack them in a row head-to-tail, the resulting shape is like a parallelogram with bumpy sides, with the same area as the circle.
Explanation:
As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle
r
and longer side
π
r
- half of the circumference of the circle.
Hence we get the formula
π
r
2
for the area of a circle of radius
r
.
Step-by-step explanation:
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